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3 years ago

Which statements describe the relationship of Earth and its moon? Check all that apply

Physics

1 answer:

Tresset [83]3 years ago

5 0

Answer:

The moon orbits Earth following a nearly circular path. The same face of the moon always points toward Earth. The moon's orbit is the result of the interaction between the moon's inertia and the gravitational force from Earth.

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A 70kg car drives through a curve with radius 50m. What is the minimum angle the road should be tilted to keep the car on the ro

worty [1.4K]

when car moves along a circular path then centripetal force for taking turn will be provided by the component of normal force

Let the road is tilted by some angle

so force equations are given as

$F_n cos\theta = mg$

$F_n sin\theta = \frac{mv^2}{R}$

now divide two equations

$tan\theta = \frac{v^2}{Rg}$

now as it is given to us that

$v = 80 km/h$

$v = 80* \frac{5}{18} = 22.2 m/s$

$R = 50 m$

now we have

$tan\theta = \frac{22.2^2}{50*9.8}$

$tan\theta = 1$

$\theta = tan^{-1}1$

$\theta = 45^0$

so it is inclined at an angle of 45 degree

8 0

3 years ago

A plane leaves the airport in Galisteo and flies 170 km at 68.0° east of north; then it changes direction to fly 230 km at 36.0°

luda_lava [24]

Answer:

The direction will be $84.86^\circ$ and the distance 250.75km.

Explanation:

Let's say A is the displacement vector which represents the first 170km and B the one for the next 230km. Then the components of these vector will be:

$A_x=170cos(68^{\circ})\\ A_y=170sin(68^\circ)\\\\B_x=230cos(-36^\circ)\\B_y=230sin(-36^\circ)$

The vector which point from the origin to the final position of the plane will be R=A+B. We sum components on x and y independetly (vector property):

$R_x=A_x+B_x=170cos(68^{\circ})+230cos(-36^\circ)=63.68km+186.07km=249.75km$

$R_y=A_y+B_y=170sin(68^\circ)+230sin(-36^\circ)=157.62km-135.19km=22.43km$

If $\theta$ is the direction of R then:

$tan(\theta )=\frac{R_x}{R_y}$ ⇒ $\theta = arctan(\frac{R_x}{R_y})$ ⇒ $\theta = 84.86^\circ$ .

The distance will be given by the magnitud of the vector R:

$R=\sqrt{R_x^2 + R_y^2}$ ⇒ $R=\sqrt{R_x^2 + R_y^2} = 250.75$ .

4 0

4 years ago

On a hypothetical scale X The ice point is 40° and steam point is 120°.

arlik [135]

Answer:

The reading of Y is -10°.

Explanation:

For scale X, the ice point is 40° and steam point is 120°.

Difference between the two extremes for scales X = 120 - 40 = 80

For scale X, the ice point and steam points are -30° and 130° respectively.

Difference between the two extremes for scales X = 130 - (-30) = 160

Comparing both scales:

One unit of scale X = x

One unit of scale Y = y

Scale X has 80 divisions while scale Y has 160

80x = 160y

x = 2y

50° in scale X = 10x + ice point in X scale

10 divisions in Y scale = 20y

Reading of Y scale = ice point of Y + 20y

= -30° + 20°

= -10°

7 0

3 years ago

Why do scientists use the scientific method when completing experiments.

polet [3.4K]

Answer:

Scientists use the scientific method to collect measurable, empirical evidence in an experiment related to a hypothesis.

Explanation:

8 0

3 years ago

Which of the following has three electrons in its valence shell? carbon aluminum sodium calcium

JulijaS [17]

Aluminum has 3 valence electrons.
You can figure out the valence electrons by looking at its group number. Aluminum is in group 3, so it has 3 valence electrons.

6 0

3 years ago

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